In the second half of the day though it was Nathan Lyon's off-spin that brought him three wickets as first-change bowler, pushing him ahead of Hugh Trumble as Australia's most successful Test off-spinner ever with 144 victims.
"This was a much more helpful wicket than (the first Test) in Dominica," said Lyon.
"You just had to bowl in the right areas and be patient. There was always something likely to happen."
Two wickets in the last two overs of the day left the West Indies in an almost hopeless situation needing another 56 runs just to avoid the follow-on.
Having provided the foundation around which his team's total was built, vice-captain Smith became only the third Australian and eighth overall in the 138-year history of the traditional format to be dismissed for 199 in a Test.
He fell when Jerome Taylor, who finished with the outstanding figures of six for 47 off 25 overs, earned a leg-before verdict against the right-hander who had batted with great assurance for almost nine hours.
"More importantly though we're in a great position and it's really up to the captain (Michael Clarke) to decide what he wants to do if they don't get past the follow-on."
His departure broke another stubborn partnership involving Hazlewood.
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